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Answer with explanation</u>
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Let 
be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For 
, we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
Answer:
- Vertical Stretch
-Left 7 Units
-Up 2 units
Step-by-step explanation:
Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.
When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.
When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.
That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units
Answer:
215 minutes
Step-by-step explanation:
Let
Number of days she rode for 35 minutes = x
Number of days she rode for 55 minutes = y
Total time spent riding her bike = 35x + 55y
x = Monday + Wednesday + Saturday
x = 3 days
y = Tuesday + Thursday
= 2 days
Substitute into the equation
Total time spent riding her bike = 35x + 55y
= 35(3) + 55(2)
= 105 + 110
= 215 minutes
The segment inside the large triangle is B: Altitude.
I don’t know if you’ll understand the steps
